Word problem Vertical Motion

[rand]

an object is thrown upward and the following table depicts the height of the ball t seconds after the projectile is released:

t (seconds) Height (feet)
1 36
2 40
3 12

I need to find: Initial Height, Initial Velocity and acceleration due to gravity using the formula:

Where h is height, a is acceleration due to gravity, h_o is initial height of object at t=0, v_o is initial velocity at t=0.

h=1/2at²+v_ot+h_o

 

[tkhunny]

t (seconds) Height (feet)
1 36
2 40
3 12

36=1/2a(1)²+v_o(1)+h_o
40=1/2a(2)²+v_o(2)+h_o
12=1/2a(3)²+v_o(3)+h_o

Solve!

 

[wjm11]

an object is thrown upward and the following table depicts the height of the ball t seconds after the projectile is released:

t (seconds) Height (feet)
1 36
2 40
3 12

I need to find: Initial Height, Initial Velocity and acceleration due to gravity using the formula:

Where h is height, a is acceleration due to gravity, h_o is initial height of object at t=0, v_o is initial velocity at t=0.

h=1/2at²+v_ot+h_o

An additional hint: if "a" is the acceleration due to gravity near the surface of Earth, then a = -32 ft/sec^2.

 

[tkhunny]

Agreed. I just wasn't asuming what planet we were on.

 

[Deleted member 4993]

An additional hint: if "a" is the acceleration due to gravity near the surface of Earth, then a = -32 ft/sec^2.

If you assumed that, you'll have 3 equations and 2 unknowns (h & v_o). That will make the system over-constrained and may not have a solution.